Numerical methods for the Bidomain and reduced models

In this chapter, we review themain numerical techniques used in the literature for the space and time discretizations of the Monodomain and Bidomain cardiac models. Then we present a Bidomain discretization based on the finite element method in space and finite difference methods in time. The latter can be fully implicit or semi-implicit, and can employ decoupling techniques and operator splitting methods between the ordinary and partial differential equation components of the cardiac models. The chapter is concluded by a review of numerical methods for the eikonal-diffusion equation.